112928040 has 128 divisors (see below), whose sum is σ = 388684800. Its totient is φ = 29134080.

The previous prime is 112928029. The next prime is 112928041. The reversal of 112928040 is 40829211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112927995 and 112928013.

It is not an unprimeable number, because it can be changed into a prime (112928041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31794 + ... + 35166.

It is an arithmetic number, because the mean of its divisors is an integer number (3036600).

Almost surely, 2^112928040 is an apocalyptic number.

112928040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112928040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194342400).

112928040 is an abundant number, since it is smaller than the sum of its proper divisors (275756760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112928040 is a wasteful number, since it uses less digits than its factorization.

112928040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 112928040 is about 10626.7605600202. The cubic root of 112928040 is about 483.3561664468.

The spelling of 112928040 in words is "one hundred twelve million, nine hundred twenty-eight thousand, forty".